How to Find GCF of 4279/242, 2888/8140?

GCF of 4279/242, 2888/8140

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4279/242, 2888/8140 i.e 1/89540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4279/242, 2888/8140.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4279/242,2888/8140?

Given fractions are 4279/242,2888/8140

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4279/242,2888/8140, numerators are 4279,2888

Denominators are 242,8140

The GCF of 4279,2888 is 1 .

LCM of 242,8140 is 89540.

The greatest common factor of 4279/242,2888/8140 = [GCF of 4279,2888]/[LCM of 242,8140]= 1/89540

Therefore, the GCF of 4279/242,2888/8140 is 1/89540.

Greatest Common Factor of 4279,2888

To find the highest common factor of 4279,2888, we have to find the factors of both numbers and list the highest common factor.

The factors of 4279 are 1, 11, 389, 4279

The factors of 2888 are 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888

The HCF of 4279,2888 is 1.

Lets's calculate GCF of 4279,2888

Greatest Common Factor (GCF) of 4279,2888 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4279,2888 By Matching Biggest Common Factor Method

Now, list down the factors of 4279

1,11,389,4279

Now, list down the factors of 2888

1,2,4,8,19,38,76,152,361,722,1444,2888

Greatest Common Factor

We found the factors 4279,2888 . The biggest common factor number is the GCF number.
So the greatest common factor 4279,2888 is 1.

Lets's calculate LCM of 242,8140

Lowest Common Multiple of 242,8140 using Common Division

2	242, 8140
11	121, 4070
	11, 370

∴ So the LCM of the given numbers is 2 x 11 x 11 x 370 = 89540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89540

Therefore, the GCF of Fractions 4279/242,2888/8140 is 1/89540

Least Common Multiple of 242,8140 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 242,8140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,8140) = 22

common factors(in case of two or more numbers have common factors) = 1

GCF(242,8140) x common factors =22 x 1 = 22

LCM(242,8140) = ( 242 × 8140 ) / 22

LCM(242,8140) = 1969880 / 22

LCM(242,8140) = 89540

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FAQs on GCF of Fractions of 4279/242, 2888/8140

1. What is the HCF of 4279,2888?

The HCF of 4279,2888 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 4279/242, 2888/8140?

Answer: GCF of Numerators as per given numbers 4279/242, 2888/8140 is

GCF of Numerators i.e. for 4279,2888 is 1

LCM of denominators i.e. for 242,8140 is 89540.

Thus, GCF of Fractions is 1/89540.Finally, GCF of Fractions for 4279/242, 2888/8140 is 1/89540.